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Some Fixed Point Results on a Class of Contractive Mappings in Cone Metric Spaces 被引量：4

Some Fixed Point Results on a Class of Contractive Mappings in Cone Metric Spaces
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摘要 In this paper, we consider a notion of contractive mappings with certain conditions in cone metric spaces and obtain some results of fixed points by using some necessary conditions. The results directly improve and generalize some fixed point results in metric soaces and some previous results in cone metric spaces.
作者 HUANG Hua-ping XU Shao-yuan HAN Yan
机构地区 School of Mathematics and Statistics Depart- ment of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第4期539-545,共7页 数学季刊（英文版）
基金 Supported by the Graduate Initial Fund of Hubei Normal University(2008D36) Supported by the Foundation of Education Ministry of Hubei Province(D20102502)
关键词 cone metric space sequentially compact fixed point 数学教学 教学方法 课堂教学 微分方程
分类号 O177.91 [理学—基础数学]
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参考文献11

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  • 4HUANG Long-guang,ZHANG Xian. Cone metric spaces and fixed point theorems of contractive map-pings[J].{H}Journal of Mathematical Analysis and Applications,2007.1468-1476.
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同被引文献17

  • 1李娟.利用压缩映像原理处理有关数列收敛性[J].甘肃联合大学学报（自然科学版）,2011,25(5):29-31. 被引量：8
  • 2綦建刚,刘衍胜,吕永敬.函数的不动点与数列的极限研究[J].山东师范大学学报（自然科学版）,1997,12(1):87-90. 被引量：6
  • 3HUANG Long-guang, ZHANG Xian. Cone metric spaces and fixed point theorems of contractive map- pings[J]. Journal of Mathematical Analysis and Applications, 2007, 332: 1468-1476.
  • 4ABBAS M, JUNGCK G. Common fixed point results for noncommuing mappings without continuity in cone metric spaces[J]. Journal of Mathematical Analysis and Applications, 2008, 341: 416-420.
  • 5HUSSAIN N, MASSOD H-S, ALIREZA A-H, et al. Common fixed point theorems for generalized con- tractive mappings with applications[J]. Fixed point theory and applications, 2013, 169: 1-17.
  • 6JANKOVIC S, KADELBURG Z, RADENOVIC S. On cone metric spaces: a survey[J]. Nonlinear Analysis, 2011, 74: 2591-2601.
  • 7KADELBURG Z, RADENOVIC S, RAKOCEVIC V. A note on the equivalence of some metric and cone metric fixed point results[J]. Applied Mathematics Letters, 2011, 24: 370-374.
  • 8ASADA M, RHOADES B-E, SOLEIMANI H. Some notes on the paper "The equivalence of cone metric spaces and metric spaces" [J]. Fixed Point Theory and Applications, 2012, 87: 1-4.
  • 9ERCAN Z. On the end of the cone metric spaces[J]. Topology and Its Applications, 2014, 166: 10-14.
  • 10LIU Hao, XU Shao-yuan. Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings[J]. Fixed Point Theory and Applications, 2013, 320: 1-10.

引证文献4

二级引证文献5

Chinese Quarterly Journal of Mathematics
2013年 第4期

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